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23 July, 17:28

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.

Shop Shawn used: y = 10 + 3.5x

Shop Dorian used: y = 6x

If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?

$

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Answers (1)
  1. 23 July, 18:03
    0
    You must just set the two functions equal

    10 + 3.5x = 6x

    6x - 3.5x = 10

    2.5 x = 10

    x = 10/2.5

    x = 4 hours

    y = 6 (4) = $24, or which is the same y = 10 + 3.5 (4) = 10 + 14 = $24.

    They paid $24 each for the rental.
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